Quantum Commitments from Complexity Assumptions

  • André Chailloux
  • Iordanis Kerenidis
  • Bill Rosgen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6755)


We study worst-case complexity assumptions that imply quantum bit-commitment schemes. First we show that QSZK \(\not\subseteq\) QMA implies a computationally hiding and statistically binding auxiliary-input quantum commitment scheme. We then extend our result to show that the much weaker assumption QIP \(\not\subseteq\) QMA (which is weaker than PSPACE \(\not\subseteq\) PP) implies the existence of auxiliary-input commitment schemes with quantum advice. Finally, to strengthen the plausibility of the separation QSZK \(\not\subseteq\) QMA we find a quantum oracle relative to which honest-verifier QSZK is not contained in QCMA.


Quantum Circuit Security Parameter Commitment Scheme Auxiliary Input Negligible Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • André Chailloux
    • 1
  • Iordanis Kerenidis
    • 2
    • 3
  • Bill Rosgen
    • 3
  1. 1.Laboratoire de Recherche en InformatiqueUniversité Paris-SudFrance
  2. 2.LIAFAUniversité Paris Diderot and CNRSFrance
  3. 3.Centre for Quantum TechnologiesNational University of SingaporeSingapore

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